# A 5.00 kg package slides 1.50 m down a long ramp that is inclined at 12.0^\circ below the horizontal. The coefficient of kinetic friction between the

A 5.00 kg package slides 1.50 m down a long ramp that is inclined at ${12.0}^{\circ }$ below the horizontal. The coefficient of kinetic friction between the package and the ramp is k =0.310. Calculate
(a) the work done on the package by friction (b) the workdone on the package by gravity (c) the work done on the package bythe normal force (d) the total work done on the package (e) Ifthe package has a speed of 2.20 m/s at the top of the ramp, what isits speed after sliding 1.50 m down the ramp?
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Gennenzip
a) $W=-.31\cdot 5\cdot 9.8\cdot \mathrm{cos}12\cdot 1.5=-22.3J$
b) $5\cdot 9.8\cdot \mathrm{sin}12\cdot 1.5=15.3J$
c) The normal force does no work
d) 15.3-22.3=-7 J
e) so $v=\sqrt{2\cdot \frac{5.1}{5}}=1.4$
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